{
  "id": "math/0312449",
  "version": "v8",
  "published": "2003-12-24T19:41:47.000Z",
  "updated": "2010-07-09T14:08:50.000Z",
  "title": "Mapping class groups are linear",
  "authors": [
    "Igor Nikolaev"
  ],
  "comment": "10 pages, 1 figure; detailed proof of a key lemma 2",
  "categories": [
    "math.AG",
    "math.GT",
    "math.KT",
    "math.OA"
  ],
  "abstract": "It is shown, that the mapping class group of a surface of the genus g > 1 admits a faithful representation into the matrix group GL (6g-6, Z). The proof is based on a categorical correspondence between the Riemann surfaces and the so-called toric AF-algebras.",
  "revisions": [
    {
      "version": "v8",
      "updated": "2010-07-09T14:08:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H52",
      "46L85"
    ],
    "keywords": [
      "mapping class group",
      "matrix group gl",
      "toric af-algebras",
      "riemann surfaces",
      "faithful representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12449N"
    }
  }
}